mirror of
https://github.com/mfillpot/mathomatic.git
synced 2026-01-09 21:09:40 +00:00
15 lines
594 B
Plaintext
15 lines
594 B
Plaintext
|
|
; This is an equation for an ellipse that was created using the rule
|
|
; that the sum of the distances from any point on the perimeter (x, y)
|
|
; to the two foci: (x1, y1) and (x2, y2), is a constant k. This can
|
|
; represent any ellipse of any orientation on the Cartesian plane.
|
|
|
|
k = ((x1-x)^2+(y1-y)^2)^0.5 + ((x2-x)^2+(y2-y)^2)^0.5
|
|
|
|
; A simplified equation for a right ellipse centered at the origin (0, 0)
|
|
; of the Cartesian plane:
|
|
|
|
1 = x^2/radius1^2 + y^2/radius2^2
|
|
; The x-intercepts are radius1 and -radius1 because y=0 there.
|
|
; The y-intercepts are radius2 and -radius2 because x=0 there.
|